English

Cluster expansions and correlation functions

Mathematical Physics 2007-05-23 v3 math.MP

Abstract

A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are also presented. The results are applied to systems of interacting classical and quantum particles, and to a lattice polymer model.

Keywords

Cite

@article{arxiv.math-ph/0304003,
  title  = {Cluster expansions and correlation functions},
  author = {Daniel Ueltschi},
  journal= {arXiv preprint arXiv:math-ph/0304003},
  year   = {2007}
}

Comments

11 pages